A numerical simulation of two-dimensional laminar pulsatile flow of Non-Newtonian fluid blood through a stenosed artery has been studied. Here the calculations are carried for five different dimensions of a single stenosed. A rigid wall vessel is considered and for inlet velocity profiles an oscillatory physiological and parabolic velocity profile has been imposed. In these investigation Non-Newtonian formative equations- Carreau model for blood has been calculated and also the result of fluid behavior is compared for five cases. Axial velocity, inlet velocity profile, pressure, wall share stress distribution, pressure loss, cross sectional velocities as well as the streamlines contour has been calculated from the investigation and compared for the different dimension of stenosed. From the result it is shown that the velocity and WSS is higher at stenosed region than after and before stenosed region and pressure is dropped at stenosed region then other region for all phases and increment of stenosed height causes more increment of velocity and WSS compare to increment of length.